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Finding the Third Proportional to 261,051 and 556,242

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Solution

The third proportional to 261,051 and 556,242 is: 1,185,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,051 : 556,242 = 556,242 : x
  2. Step 2: Convert to fraction form
    261,051/556,242 = 556,242/x
  3. Step 3: Cross multiply
    261,051x = 556,242 × 556,242
  4. Step 4: Simplify right side
    261,051x = 309,405,162,564
  5. Step 5: Solve for x
    x = 309,405,162,564/261,051
  6. Step 6: Final answer
    x = 1,185,228.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.